"It is long since the DPRK's nuclear striking means have entered the stage of producing smaller nukes and diversifying them," the spokesman said, using the acronym of North Korea's official name, the Democratic People's Republic of Korea. "The DPRK has reached the stage of ensuring the highest precision and intelligence and best accuracy of not only medium- and short-range rockets, but long-range ones."

If the North's claim is true, it presents a fresh threat to the security of South Korea and Japan, as well as the United States. Pyongyang has previously claimed that it has the technology to build a nuclear weapon small enough to fit on an intercontinental ballistic missile, which could reach the U.S. mainland.

Krauthammer said that "this is scary."

"...The North Korea leadership is probably clinically nuts, certainly paranoid," Krauthammer stated. "And we have no idea what they can do and what they will do."

Krauthammer said that if the reports are true, the miniaturized warheads could actually "hit San Francisco or Los Angeles."

He added that North Korea shares everything and that they're helping Syria and Iran.

"If they learn how to miniaturize and they transfer the intelligence, that accelerates Iran going nuclear," Krauthammer said.

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